Find x + y in the Triangle with 62°, 128° Angles

First, let’s recall that the sum of angles in a triangle is always 180°.

In the given triangle, we can see one angle is 62°. The other two angles are x and y.

Therefore, we can write our first equation:

Now, let’s look at the angle outside the triangle. It’s 128°.

This 128° angle forms a straight line with angle x. We know that angles on a straight line sum to 180°.

So we can write our second equation:

From this, we can find x:

Now that we know x, we can substitute it back into our first equation:

Simplifying:

Now we have both x and y. The question asks for x + y: